HSC Together Year 11 Maths Advanced: Identifying the Coefficients and Degree of a Polynomial

• Working With Functions
• Trigonometric Functions
• Calculus
• Exponential and Logarithmic Functions
• Statistical Analysis
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Identifying the Coefficients and Degree of a Polynomial

What are the coefficients and degree of a polynomial?

In this post, we are identifying the coefficients and the degree of a polynomial, as a part of the Prelim Maths Advanced course under the topic Working with Functions and sub-part Further Functions and Relations. The degree of the polynomial is the highest power of the polynomial, for example in polynomial, P(x) = 2x^{3} + x^{2} + 4x + 8 , the degree of the polynomial P(x) is 3 . The coefficients are the numbers in front of the variables and the leading coefficient is the number in front of the highest power of the polynomial; in terms of polynomial P(x) , it is 2 .

How do I find the leading coefficient and degree of a polynomial?

In the following two videos, they will guide you through how to find the leading coefficient and degree of any polynomial.

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